7 Find the derivative of f(x) = 2 - %3D Type your answer without fractional or negative exponents. Use sqrt(x) for . f'(x) = %3D

Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: Find a function with derivative equal to g(x) = cos(x)e³sin(x)

A: To find a function with derivative equal to gx=cosx e5 sinx

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: 11. Use logarithmic differentiation to find the derivative of the function. y = xsinx

A:

Q: 4) Use logarithmic differentiation to find the derivative Of the given fünction.Show all steps.…

A: Consider the given function y=xx1+x24

Q: second derivative of  y=x(x-4)3

A: Given function is y = x(x – 4)^3. Differentiate with respect to x on both sides.

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

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Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

A:

Q: Can you help me with this problem step by step?

A: The equation is given by

Q: Determine the derivative of f(x)=ln(x√x^2+1).

A:

Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: 6. Find 39th derivative of f(x) = sinh(x). A. sinh(x) B. cosh(x) C. – sinh(x) D. - cosh(x) None of…

A: Derivative of sinh(x) is Cosh(x) and  Derivative of Cosh(x) is Sinh(x).

Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: 4 Find the derivative of y = 8* +

A:

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: 2. Find the derivative of g(x) = 2x sin x.

A:

Q: 4. Use logarithmic differentiation to find the derivative of the function y = x c0sx.

A: So we are going to take natural logrithm to both side and solve them so I'm providing hand written…

Q: 7.) f (x)> (3x+2)(5x-2)

A:

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: 1. y=ex-4) (exponent of (x-4) is 2) %3D

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Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: Find the derivative of y = cosh(11x) for x > . (Use symbolic notation and fractions where needed.)…

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Q: Find the derivative of the function. y = etan(8) y' =

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Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: 4 Find the derivative of: – 9/x - Type your answer without fractional or negative exponents. Use…

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Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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Q: ³ _ x + 2y x-2y find first derivative X = to

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Q: 8ubject find the derivative of y= X. Ln (esé'sx)

A:

Q: 11. Use logarithmic differentiation to find the derivative of the function y = xsinx

A: Given function is : y=xsinx To find the derivative.

Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

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Q: 14) Find the first derivative of f(x) = 2*²2*

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Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log…